F5 AM (23/1)

F5 AM (23/1)

University - Professional Development

10 Qs

quiz-placeholder

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F5 AM (23/1)

F5 AM (23/1)

Assessment

Quiz

Mathematics

University - Professional Development

Medium

Created by

Catherine Loh

Used 2+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 y=(x2+2)(3x5)y=\left(x^2+2\right)\left(3x-5\right)  

 dydx=6x210x+6\frac{\text{d}y}{\text{d}x}=6x^2-10x+6  

 dydx=9x210x+6\frac{\text{d}y}{\text{d}x}=9x^2-10x+6  

 dydx=6x310x2+6\frac{\text{d}y}{\text{d}x}=6x^3-10x^2+6  

 dydx=9x214x+6\frac{\text{d}y}{\text{d}x}=9x^2-14x+6  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 y=(x2+2)(3x5)y=\left(x^2+2\right)\left(3x-5\right)  

 dydx=3x35x2+6x10\frac{\text{d}y}{\text{d}x}=3x^3-5x^2+6x-10  

 dydx=10x29x+6\frac{\text{d}y}{\text{d}x}=10x^2-9x+6  

 dydx=9x210x+6\frac{\text{d}y}{\text{d}x}=9x^2-10x+6  

 dydx=3x210x+6\frac{\text{d}y}{\text{d}x}=3x^2-10x+6  

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 y=x2+23x1y=\frac{x^2+2}{3x-1}  

 dydx=3x22x6\frac{\text{d}y}{\text{d}x}=3x^2-2x-6  

 dydx=3x+2x+3(3x1)2\frac{\text{d}y}{\text{d}x}=\frac{3x+2x+3}{\left(3x-1\right)^2}  

 dydx=3x22x6(3x1)2\frac{\text{d}y}{\text{d}x}=\frac{3x^2-2x-6}{\left(3x-1\right)^2}  

 dydx=(3x1)23x22x6\frac{\text{d}y}{\text{d}x}=\frac{\left(3x-1\right)^2}{3x^2-2x-6}  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 y=4x2+1x4+5xy=\frac{4x^2+1}{x^4+5x}  



 dydx=8x3+4x25\frac{\text{d}y}{\text{d}x}=8x^3+4x^2-5  

 dydx=8x5+4x3+20x25(x4+5x)2\frac{\text{d}y}{\text{d}x}=\frac{8x^5+4x^3+20x^2-5}{\left(x^4+5x\right)^2}  

 dydx=(x45x)28x5+4x3\frac{\text{d}y}{\text{d}x}=\frac{\left(x^4-5x\right)^2}{8x^5+4x^3}  

 dydx=20x25\frac{\text{d}y}{\text{d}x}=20x^2-5  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 y=x4+5x22y=\frac{x^4+5}{x^2-2}  



 dydx=2x58x3+10x(x22)2\frac{\text{d}y}{\text{d}x}=\frac{2x^5-8x^3+10x}{\left(x^2-2\right)^2}  

 dydx=x44x2+42x58x3+10x\frac{\text{d}y}{\text{d}x}=\frac{x^4-4x^2+4}{2x^5-8x^3+10x}  

 dydx=2x58x3+10x\frac{\text{d}y}{\text{d}x}=2x^5-8x^3+10x  

 dydx=x44x2+4\frac{\text{d}y}{\text{d}x}=x^4-4x^2+4  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 y=(3x25)(5x4+2x)y=\left(3x^2-5\right)\left(5x^4+2x\right)  

 dydx=90x5100x3+18x210\frac{\text{d}y}{\text{d}x}=90x^5-100x^3+18x^2-10  

 dydx=90x4100x3+18x210\frac{\text{d}y}{\text{d}x}=90x^4-100x^3+18x^2-10  

 dydx=90x5100x2+18x\frac{\text{d}y}{\text{d}x}=90x^5-100x^2+18x  

 dydx=90x5100x310\frac{\text{d}y}{\text{d}x}=90x^5-100x^3-10  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 y=6x2+5x3xy=\frac{6x^2+5}{x^3-x}  



 dydx=18x4+5x34x\frac{\text{d}y}{\text{d}x}=18x^4+5x^3-4x  

 dydx=9x510x3\frac{\text{d}y}{\text{d}x}=9x^5-10x^3  

 dydx=6x421x2+5\frac{\text{d}y}{\text{d}x}=-6x^4-21x^2+5  

 dydx=6x421x2+5(x3x)2\frac{\text{d}y}{\text{d}x}=\frac{-6x^4-21x^2+5}{\left(x^3-x\right)^2}  

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